help on geometry

Question

Angles  and  are supplementary. If the measure of angle  is  times angle , what is the measure of angle A?

Answer 1

Abby, First you need to know what are supplementary angles.

If two angles are supplementary, their measurements always add to 180 degrees.

So if angle B is x°, then angle A is 8x° ( Times means you multiply). Set their sum into an equation,

<A + <B = 180° or

8x + x = 180

9x. = 180

x. = 20. So angle angle B is 20° and angle A is 20×8 = 160°